The problem that I have is I need help with following
I need to find the all roots for the following:
y= x to the fifth minus x to the fourth minus 2x cubed
I had two choices:
to subtract x to the 4th from x to the 5th , and get x-2x cubed.
or other choice I had is to distrubite to get x cubed and in parathesis xsquared minus x minus 2.
Please help solve this problem, because I am doing something way wrong.
Thank you so much toeveryone who responds. Thank you x 10000000000
Happy Holidays
I need to find the all roots for the following:
y= x to the fifth minus x to the fourth minus 2x cubed
I had two choices:
to subtract x to the 4th from x to the 5th , and get x-2x cubed.
or other choice I had is to distrubite to get x cubed and in parathesis xsquared minus x minus 2.
Please help solve this problem, because I am doing something way wrong.
Thank you so much toeveryone who responds. Thank you x 10000000000
Happy Holidays
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the second choice is best as it gives
x^3(x^2 - x-2)=0 this implies that x^3 = 0 or (x^2-x-2)=0
x^3 can only be 0 when x is 0 so this is one root
for x^2-x-2=0 this factors too (x+1)(x-2) giving roots -1 and 2
so all roots are x= 0, -1, 2
x^3(x^2 - x-2)=0 this implies that x^3 = 0 or (x^2-x-2)=0
x^3 can only be 0 when x is 0 so this is one root
for x^2-x-2=0 this factors too (x+1)(x-2) giving roots -1 and 2
so all roots are x= 0, -1, 2